105105160301 has 2 divisors, whose sum is σ = 105105160302. Its totient is φ = 105105160300.

The previous prime is 105105160297. The next prime is 105105160309. The reversal of 105105160301 is 103061501501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105060256900 + 44903401 = 324130^2 + 6701^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105160301 - 2² = 105105160297 is a prime.

It is a super-2 number, since 2×105105160301² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105105160309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552580150 + 52552580151.

It is an arithmetic number, because the mean of its divisors is an integer number (52552580151).

Almost surely, 2^105105160301 is an apocalyptic number.

It is an amenable number.

105105160301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105160301 is an equidigital number, since it uses as much as digits as its factorization.

105105160301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 105105160301 its reverse (103061501501), we get a palindrome (208166661802).

The spelling of 105105160301 in words is "one hundred five billion, one hundred five million, one hundred sixty thousand, three hundred one".